The problems connected to propagation of a gravitational field are considered. The law of change of an electromagnetic radiation frequency in a gravitational field is shown. On the basis use of a quantum gravitational eikonal the energy of a single graviton is found. Refusal from a stresses tensor in structure of an energy-impulse tensor has allowed the quantum form of the energy-impulse tensor in Einstein's equation is found. It is shown that the solution of the Einstein’s equation for the certain direction in this case represents the sum of a gravitational wave and a graviton. It is noticed that the deep understanding of process of the gravitational waves with massive body interaction can be only at the quantum philosophy. It is shown that at approach of a graviton to the massive bodies (double stars) radiating gravitational waves there is a resonant pumping of the gravitational field energy of these bodies to the gravitons. It enables registration of the gravitons with the help of the detector located near to massive bodies.